edit this statistic or download as text // json
Identifier
Values
=>
Cc0012;cc-rep
[(1,2)]=>1 [(1,2),(3,4)]=>1 [(1,3),(2,4)]=>1 [(1,4),(2,3)]=>1 [(1,2),(3,4),(5,6)]=>2 [(1,3),(2,4),(5,6)]=>2 [(1,4),(2,3),(5,6)]=>2 [(1,5),(2,3),(4,6)]=>1 [(1,6),(2,3),(4,5)]=>1 [(1,6),(2,4),(3,5)]=>1 [(1,5),(2,4),(3,6)]=>1 [(1,4),(2,5),(3,6)]=>1 [(1,3),(2,5),(4,6)]=>1 [(1,2),(3,5),(4,6)]=>1 [(1,2),(3,6),(4,5)]=>1 [(1,3),(2,6),(4,5)]=>1 [(1,4),(2,6),(3,5)]=>1 [(1,5),(2,6),(3,4)]=>1 [(1,6),(2,5),(3,4)]=>1 [(1,2),(3,4),(5,6),(7,8)]=>2 [(1,3),(2,4),(5,6),(7,8)]=>2 [(1,4),(2,3),(5,6),(7,8)]=>2 [(1,5),(2,3),(4,6),(7,8)]=>2 [(1,6),(2,3),(4,5),(7,8)]=>2 [(1,7),(2,3),(4,5),(6,8)]=>2 [(1,8),(2,3),(4,5),(6,7)]=>2 [(1,8),(2,4),(3,5),(6,7)]=>2 [(1,7),(2,4),(3,5),(6,8)]=>2 [(1,6),(2,4),(3,5),(7,8)]=>2 [(1,5),(2,4),(3,6),(7,8)]=>2 [(1,4),(2,5),(3,6),(7,8)]=>2 [(1,3),(2,5),(4,6),(7,8)]=>2 [(1,2),(3,5),(4,6),(7,8)]=>2 [(1,2),(3,6),(4,5),(7,8)]=>2 [(1,3),(2,6),(4,5),(7,8)]=>2 [(1,4),(2,6),(3,5),(7,8)]=>2 [(1,5),(2,6),(3,4),(7,8)]=>2 [(1,6),(2,5),(3,4),(7,8)]=>2 [(1,7),(2,5),(3,4),(6,8)]=>2 [(1,8),(2,5),(3,4),(6,7)]=>2 [(1,8),(2,6),(3,4),(5,7)]=>1 [(1,7),(2,6),(3,4),(5,8)]=>1 [(1,6),(2,7),(3,4),(5,8)]=>1 [(1,5),(2,7),(3,4),(6,8)]=>2 [(1,4),(2,7),(3,5),(6,8)]=>2 [(1,3),(2,7),(4,5),(6,8)]=>2 [(1,2),(3,7),(4,5),(6,8)]=>2 [(1,2),(3,8),(4,5),(6,7)]=>2 [(1,3),(2,8),(4,5),(6,7)]=>2 [(1,4),(2,8),(3,5),(6,7)]=>2 [(1,5),(2,8),(3,4),(6,7)]=>2 [(1,6),(2,8),(3,4),(5,7)]=>1 [(1,7),(2,8),(3,4),(5,6)]=>1 [(1,8),(2,7),(3,4),(5,6)]=>1 [(1,8),(2,7),(3,5),(4,6)]=>1 [(1,7),(2,8),(3,5),(4,6)]=>1 [(1,6),(2,8),(3,5),(4,7)]=>1 [(1,5),(2,8),(3,6),(4,7)]=>1 [(1,4),(2,8),(3,6),(5,7)]=>1 [(1,3),(2,8),(4,6),(5,7)]=>1 [(1,2),(3,8),(4,6),(5,7)]=>1 [(1,2),(3,7),(4,6),(5,8)]=>1 [(1,3),(2,7),(4,6),(5,8)]=>1 [(1,4),(2,7),(3,6),(5,8)]=>1 [(1,5),(2,7),(3,6),(4,8)]=>1 [(1,6),(2,7),(3,5),(4,8)]=>1 [(1,7),(2,6),(3,5),(4,8)]=>1 [(1,8),(2,6),(3,5),(4,7)]=>1 [(1,8),(2,5),(3,6),(4,7)]=>1 [(1,7),(2,5),(3,6),(4,8)]=>1 [(1,6),(2,5),(3,7),(4,8)]=>1 [(1,5),(2,6),(3,7),(4,8)]=>1 [(1,4),(2,6),(3,7),(5,8)]=>1 [(1,3),(2,6),(4,7),(5,8)]=>1 [(1,2),(3,6),(4,7),(5,8)]=>1 [(1,2),(3,5),(4,7),(6,8)]=>2 [(1,3),(2,5),(4,7),(6,8)]=>2 [(1,4),(2,5),(3,7),(6,8)]=>2 [(1,5),(2,4),(3,7),(6,8)]=>2 [(1,6),(2,4),(3,7),(5,8)]=>1 [(1,7),(2,4),(3,6),(5,8)]=>1 [(1,8),(2,4),(3,6),(5,7)]=>1 [(1,8),(2,3),(4,6),(5,7)]=>1 [(1,7),(2,3),(4,6),(5,8)]=>1 [(1,6),(2,3),(4,7),(5,8)]=>1 [(1,5),(2,3),(4,7),(6,8)]=>2 [(1,4),(2,3),(5,7),(6,8)]=>2 [(1,3),(2,4),(5,7),(6,8)]=>2 [(1,2),(3,4),(5,7),(6,8)]=>2 [(1,2),(3,4),(5,8),(6,7)]=>2 [(1,3),(2,4),(5,8),(6,7)]=>2 [(1,4),(2,3),(5,8),(6,7)]=>2 [(1,5),(2,3),(4,8),(6,7)]=>2 [(1,6),(2,3),(4,8),(5,7)]=>1 [(1,7),(2,3),(4,8),(5,6)]=>1 [(1,8),(2,3),(4,7),(5,6)]=>1 [(1,8),(2,4),(3,7),(5,6)]=>1 [(1,7),(2,4),(3,8),(5,6)]=>1 [(1,6),(2,4),(3,8),(5,7)]=>1 [(1,5),(2,4),(3,8),(6,7)]=>2 [(1,4),(2,5),(3,8),(6,7)]=>2 [(1,3),(2,5),(4,8),(6,7)]=>2 [(1,2),(3,5),(4,8),(6,7)]=>2 [(1,2),(3,6),(4,8),(5,7)]=>1 [(1,3),(2,6),(4,8),(5,7)]=>1 [(1,4),(2,6),(3,8),(5,7)]=>1 [(1,5),(2,6),(3,8),(4,7)]=>1 [(1,6),(2,5),(3,8),(4,7)]=>1 [(1,7),(2,5),(3,8),(4,6)]=>1 [(1,8),(2,5),(3,7),(4,6)]=>1 [(1,8),(2,6),(3,7),(4,5)]=>1 [(1,7),(2,6),(3,8),(4,5)]=>1 [(1,6),(2,7),(3,8),(4,5)]=>1 [(1,5),(2,7),(3,8),(4,6)]=>1 [(1,4),(2,7),(3,8),(5,6)]=>1 [(1,3),(2,7),(4,8),(5,6)]=>1 [(1,2),(3,7),(4,8),(5,6)]=>1 [(1,2),(3,8),(4,7),(5,6)]=>1 [(1,3),(2,8),(4,7),(5,6)]=>1 [(1,4),(2,8),(3,7),(5,6)]=>1 [(1,5),(2,8),(3,7),(4,6)]=>1 [(1,6),(2,8),(3,7),(4,5)]=>1 [(1,7),(2,8),(3,6),(4,5)]=>1 [(1,8),(2,7),(3,6),(4,5)]=>1 [(1,2),(3,4),(5,6),(7,8),(9,10)]=>3 [(1,3),(2,4),(5,6),(7,8),(9,10)]=>3 [(1,4),(2,3),(5,6),(7,8),(9,10)]=>3 [(1,5),(2,3),(4,6),(7,8),(9,10)]=>3 [(1,6),(2,3),(4,5),(7,8),(9,10)]=>3 [(1,7),(2,3),(4,5),(6,8),(9,10)]=>2 [(1,8),(2,3),(4,5),(6,7),(9,10)]=>2 [(1,9),(2,3),(4,5),(6,7),(8,10)]=>2 [(1,10),(2,3),(4,5),(6,7),(8,9)]=>2 [(1,10),(2,4),(3,5),(6,7),(8,9)]=>2 [(1,9),(2,4),(3,5),(6,7),(8,10)]=>2 [(1,8),(2,4),(3,5),(6,7),(9,10)]=>2 [(1,7),(2,4),(3,5),(6,8),(9,10)]=>2 [(1,6),(2,4),(3,5),(7,8),(9,10)]=>3 [(1,5),(2,4),(3,6),(7,8),(9,10)]=>3 [(1,4),(2,5),(3,6),(7,8),(9,10)]=>3 [(1,3),(2,5),(4,6),(7,8),(9,10)]=>3 [(1,2),(3,5),(4,6),(7,8),(9,10)]=>3 [(1,2),(3,6),(4,5),(7,8),(9,10)]=>3 [(1,3),(2,6),(4,5),(7,8),(9,10)]=>3 [(1,4),(2,6),(3,5),(7,8),(9,10)]=>3 [(1,5),(2,6),(3,4),(7,8),(9,10)]=>3 [(1,6),(2,5),(3,4),(7,8),(9,10)]=>3 [(1,7),(2,5),(3,4),(6,8),(9,10)]=>2 [(1,8),(2,5),(3,4),(6,7),(9,10)]=>2 [(1,9),(2,5),(3,4),(6,7),(8,10)]=>2 [(1,10),(2,5),(3,4),(6,7),(8,9)]=>2 [(1,10),(2,6),(3,4),(5,7),(8,9)]=>2 [(1,9),(2,6),(3,4),(5,7),(8,10)]=>2 [(1,8),(2,6),(3,4),(5,7),(9,10)]=>2 [(1,7),(2,6),(3,4),(5,8),(9,10)]=>2 [(1,6),(2,7),(3,4),(5,8),(9,10)]=>2 [(1,5),(2,7),(3,4),(6,8),(9,10)]=>2 [(1,4),(2,7),(3,5),(6,8),(9,10)]=>2 [(1,3),(2,7),(4,5),(6,8),(9,10)]=>2 [(1,2),(3,7),(4,5),(6,8),(9,10)]=>2 [(1,2),(3,8),(4,5),(6,7),(9,10)]=>2 [(1,3),(2,8),(4,5),(6,7),(9,10)]=>2 [(1,4),(2,8),(3,5),(6,7),(9,10)]=>2 [(1,5),(2,8),(3,4),(6,7),(9,10)]=>2 [(1,6),(2,8),(3,4),(5,7),(9,10)]=>2 [(1,7),(2,8),(3,4),(5,6),(9,10)]=>2 [(1,8),(2,7),(3,4),(5,6),(9,10)]=>2 [(1,9),(2,7),(3,4),(5,6),(8,10)]=>2 [(1,10),(2,7),(3,4),(5,6),(8,9)]=>2 [(1,10),(2,8),(3,4),(5,6),(7,9)]=>2 [(1,9),(2,8),(3,4),(5,6),(7,10)]=>2 [(1,8),(2,9),(3,4),(5,6),(7,10)]=>2 [(1,7),(2,9),(3,4),(5,6),(8,10)]=>2 [(1,6),(2,9),(3,4),(5,7),(8,10)]=>2 [(1,5),(2,9),(3,4),(6,7),(8,10)]=>2 [(1,4),(2,9),(3,5),(6,7),(8,10)]=>2 [(1,3),(2,9),(4,5),(6,7),(8,10)]=>2 [(1,2),(3,9),(4,5),(6,7),(8,10)]=>2 [(1,2),(3,10),(4,5),(6,7),(8,9)]=>2 [(1,3),(2,10),(4,5),(6,7),(8,9)]=>2 [(1,4),(2,10),(3,5),(6,7),(8,9)]=>2 [(1,5),(2,10),(3,4),(6,7),(8,9)]=>2 [(1,6),(2,10),(3,4),(5,7),(8,9)]=>2 [(1,7),(2,10),(3,4),(5,6),(8,9)]=>2 [(1,8),(2,10),(3,4),(5,6),(7,9)]=>2 [(1,9),(2,10),(3,4),(5,6),(7,8)]=>2 [(1,10),(2,9),(3,4),(5,6),(7,8)]=>2 [(1,10),(2,9),(3,5),(4,6),(7,8)]=>2 [(1,9),(2,10),(3,5),(4,6),(7,8)]=>2 [(1,8),(2,10),(3,5),(4,6),(7,9)]=>2 [(1,7),(2,10),(3,5),(4,6),(8,9)]=>2 [(1,6),(2,10),(3,5),(4,7),(8,9)]=>2 [(1,5),(2,10),(3,6),(4,7),(8,9)]=>2 [(1,4),(2,10),(3,6),(5,7),(8,9)]=>2 [(1,3),(2,10),(4,6),(5,7),(8,9)]=>2 [(1,2),(3,10),(4,6),(5,7),(8,9)]=>2 [(1,2),(3,9),(4,6),(5,7),(8,10)]=>2 [(1,3),(2,9),(4,6),(5,7),(8,10)]=>2 [(1,4),(2,9),(3,6),(5,7),(8,10)]=>2 [(1,5),(2,9),(3,6),(4,7),(8,10)]=>2 [(1,6),(2,9),(3,5),(4,7),(8,10)]=>2 [(1,7),(2,9),(3,5),(4,6),(8,10)]=>2 [(1,8),(2,9),(3,5),(4,6),(7,10)]=>2 [(1,9),(2,8),(3,5),(4,6),(7,10)]=>2 [(1,10),(2,8),(3,5),(4,6),(7,9)]=>2 [(1,10),(2,7),(3,5),(4,6),(8,9)]=>2 [(1,9),(2,7),(3,5),(4,6),(8,10)]=>2 [(1,8),(2,7),(3,5),(4,6),(9,10)]=>2 [(1,7),(2,8),(3,5),(4,6),(9,10)]=>2 [(1,6),(2,8),(3,5),(4,7),(9,10)]=>2 [(1,5),(2,8),(3,6),(4,7),(9,10)]=>2 [(1,4),(2,8),(3,6),(5,7),(9,10)]=>2 [(1,3),(2,8),(4,6),(5,7),(9,10)]=>2 [(1,2),(3,8),(4,6),(5,7),(9,10)]=>2 [(1,2),(3,7),(4,6),(5,8),(9,10)]=>2 [(1,3),(2,7),(4,6),(5,8),(9,10)]=>2 [(1,4),(2,7),(3,6),(5,8),(9,10)]=>2 [(1,5),(2,7),(3,6),(4,8),(9,10)]=>2 [(1,6),(2,7),(3,5),(4,8),(9,10)]=>2 [(1,7),(2,6),(3,5),(4,8),(9,10)]=>2 [(1,8),(2,6),(3,5),(4,7),(9,10)]=>2 [(1,9),(2,6),(3,5),(4,7),(8,10)]=>2 [(1,10),(2,6),(3,5),(4,7),(8,9)]=>2 [(1,10),(2,5),(3,6),(4,7),(8,9)]=>2 [(1,9),(2,5),(3,6),(4,7),(8,10)]=>2 [(1,8),(2,5),(3,6),(4,7),(9,10)]=>2 [(1,7),(2,5),(3,6),(4,8),(9,10)]=>2 [(1,6),(2,5),(3,7),(4,8),(9,10)]=>2 [(1,5),(2,6),(3,7),(4,8),(9,10)]=>2 [(1,4),(2,6),(3,7),(5,8),(9,10)]=>2 [(1,3),(2,6),(4,7),(5,8),(9,10)]=>2 [(1,2),(3,6),(4,7),(5,8),(9,10)]=>2 [(1,2),(3,5),(4,7),(6,8),(9,10)]=>2 [(1,3),(2,5),(4,7),(6,8),(9,10)]=>2 [(1,4),(2,5),(3,7),(6,8),(9,10)]=>2 [(1,5),(2,4),(3,7),(6,8),(9,10)]=>2 [(1,6),(2,4),(3,7),(5,8),(9,10)]=>2 [(1,7),(2,4),(3,6),(5,8),(9,10)]=>2 [(1,8),(2,4),(3,6),(5,7),(9,10)]=>2 [(1,9),(2,4),(3,6),(5,7),(8,10)]=>2 [(1,10),(2,4),(3,6),(5,7),(8,9)]=>2 [(1,10),(2,3),(4,6),(5,7),(8,9)]=>2 [(1,9),(2,3),(4,6),(5,7),(8,10)]=>2 [(1,8),(2,3),(4,6),(5,7),(9,10)]=>2 [(1,7),(2,3),(4,6),(5,8),(9,10)]=>2 [(1,6),(2,3),(4,7),(5,8),(9,10)]=>2 [(1,5),(2,3),(4,7),(6,8),(9,10)]=>2 [(1,4),(2,3),(5,7),(6,8),(9,10)]=>2 [(1,3),(2,4),(5,7),(6,8),(9,10)]=>2 [(1,2),(3,4),(5,7),(6,8),(9,10)]=>2 [(1,2),(3,4),(5,8),(6,7),(9,10)]=>2 [(1,3),(2,4),(5,8),(6,7),(9,10)]=>2 [(1,4),(2,3),(5,8),(6,7),(9,10)]=>2 [(1,5),(2,3),(4,8),(6,7),(9,10)]=>2 [(1,6),(2,3),(4,8),(5,7),(9,10)]=>2 [(1,7),(2,3),(4,8),(5,6),(9,10)]=>2 [(1,8),(2,3),(4,7),(5,6),(9,10)]=>2 [(1,9),(2,3),(4,7),(5,6),(8,10)]=>2 [(1,10),(2,3),(4,7),(5,6),(8,9)]=>2 [(1,10),(2,4),(3,7),(5,6),(8,9)]=>2 [(1,9),(2,4),(3,7),(5,6),(8,10)]=>2 [(1,8),(2,4),(3,7),(5,6),(9,10)]=>2 [(1,7),(2,4),(3,8),(5,6),(9,10)]=>2 [(1,6),(2,4),(3,8),(5,7),(9,10)]=>2 [(1,5),(2,4),(3,8),(6,7),(9,10)]=>2 [(1,4),(2,5),(3,8),(6,7),(9,10)]=>2 [(1,3),(2,5),(4,8),(6,7),(9,10)]=>2 [(1,2),(3,5),(4,8),(6,7),(9,10)]=>2 [(1,2),(3,6),(4,8),(5,7),(9,10)]=>2 [(1,3),(2,6),(4,8),(5,7),(9,10)]=>2 [(1,4),(2,6),(3,8),(5,7),(9,10)]=>2 [(1,5),(2,6),(3,8),(4,7),(9,10)]=>2 [(1,6),(2,5),(3,8),(4,7),(9,10)]=>2 [(1,7),(2,5),(3,8),(4,6),(9,10)]=>2 [(1,8),(2,5),(3,7),(4,6),(9,10)]=>2 [(1,9),(2,5),(3,7),(4,6),(8,10)]=>2 [(1,10),(2,5),(3,7),(4,6),(8,9)]=>2 [(1,10),(2,6),(3,7),(4,5),(8,9)]=>2 [(1,9),(2,6),(3,7),(4,5),(8,10)]=>2 [(1,8),(2,6),(3,7),(4,5),(9,10)]=>2 [(1,7),(2,6),(3,8),(4,5),(9,10)]=>2 [(1,6),(2,7),(3,8),(4,5),(9,10)]=>2 [(1,5),(2,7),(3,8),(4,6),(9,10)]=>2 [(1,4),(2,7),(3,8),(5,6),(9,10)]=>2 [(1,3),(2,7),(4,8),(5,6),(9,10)]=>2 [(1,2),(3,7),(4,8),(5,6),(9,10)]=>2 [(1,2),(3,8),(4,7),(5,6),(9,10)]=>2 [(1,3),(2,8),(4,7),(5,6),(9,10)]=>2 [(1,4),(2,8),(3,7),(5,6),(9,10)]=>2 [(1,5),(2,8),(3,7),(4,6),(9,10)]=>2 [(1,6),(2,8),(3,7),(4,5),(9,10)]=>2 [(1,7),(2,8),(3,6),(4,5),(9,10)]=>2 [(1,8),(2,7),(3,6),(4,5),(9,10)]=>2 [(1,9),(2,7),(3,6),(4,5),(8,10)]=>2 [(1,10),(2,7),(3,6),(4,5),(8,9)]=>2 [(1,10),(2,8),(3,6),(4,5),(7,9)]=>2 [(1,9),(2,8),(3,6),(4,5),(7,10)]=>2 [(1,8),(2,9),(3,6),(4,5),(7,10)]=>2 [(1,7),(2,9),(3,6),(4,5),(8,10)]=>2 [(1,6),(2,9),(3,7),(4,5),(8,10)]=>2 [(1,5),(2,9),(3,7),(4,6),(8,10)]=>2 [(1,4),(2,9),(3,7),(5,6),(8,10)]=>2 [(1,3),(2,9),(4,7),(5,6),(8,10)]=>2 [(1,2),(3,9),(4,7),(5,6),(8,10)]=>2 [(1,2),(3,10),(4,7),(5,6),(8,9)]=>2 [(1,3),(2,10),(4,7),(5,6),(8,9)]=>2 [(1,4),(2,10),(3,7),(5,6),(8,9)]=>2 [(1,5),(2,10),(3,7),(4,6),(8,9)]=>2 [(1,6),(2,10),(3,7),(4,5),(8,9)]=>2 [(1,7),(2,10),(3,6),(4,5),(8,9)]=>2 [(1,8),(2,10),(3,6),(4,5),(7,9)]=>2 [(1,9),(2,10),(3,6),(4,5),(7,8)]=>2 [(1,10),(2,9),(3,6),(4,5),(7,8)]=>2 [(1,10),(2,9),(3,7),(4,5),(6,8)]=>1 [(1,9),(2,10),(3,7),(4,5),(6,8)]=>1 [(1,8),(2,10),(3,7),(4,5),(6,9)]=>1 [(1,7),(2,10),(3,8),(4,5),(6,9)]=>1 [(1,6),(2,10),(3,8),(4,5),(7,9)]=>2 [(1,5),(2,10),(3,8),(4,6),(7,9)]=>2 [(1,4),(2,10),(3,8),(5,6),(7,9)]=>2 [(1,3),(2,10),(4,8),(5,6),(7,9)]=>2 [(1,2),(3,10),(4,8),(5,6),(7,9)]=>2 [(1,2),(3,9),(4,8),(5,6),(7,10)]=>2 [(1,3),(2,9),(4,8),(5,6),(7,10)]=>2 [(1,4),(2,9),(3,8),(5,6),(7,10)]=>2 [(1,5),(2,9),(3,8),(4,6),(7,10)]=>2 [(1,6),(2,9),(3,8),(4,5),(7,10)]=>2 [(1,7),(2,9),(3,8),(4,5),(6,10)]=>1 [(1,8),(2,9),(3,7),(4,5),(6,10)]=>1 [(1,9),(2,8),(3,7),(4,5),(6,10)]=>1 [(1,10),(2,8),(3,7),(4,5),(6,9)]=>1 [(1,10),(2,7),(3,8),(4,5),(6,9)]=>1 [(1,9),(2,7),(3,8),(4,5),(6,10)]=>1 [(1,8),(2,7),(3,9),(4,5),(6,10)]=>1 [(1,7),(2,8),(3,9),(4,5),(6,10)]=>1 [(1,6),(2,8),(3,9),(4,5),(7,10)]=>2 [(1,5),(2,8),(3,9),(4,6),(7,10)]=>2 [(1,4),(2,8),(3,9),(5,6),(7,10)]=>2 [(1,3),(2,8),(4,9),(5,6),(7,10)]=>2 [(1,2),(3,8),(4,9),(5,6),(7,10)]=>2 [(1,2),(3,7),(4,9),(5,6),(8,10)]=>2 [(1,3),(2,7),(4,9),(5,6),(8,10)]=>2 [(1,4),(2,7),(3,9),(5,6),(8,10)]=>2 [(1,5),(2,7),(3,9),(4,6),(8,10)]=>2 [(1,6),(2,7),(3,9),(4,5),(8,10)]=>2 [(1,7),(2,6),(3,9),(4,5),(8,10)]=>2 [(1,8),(2,6),(3,9),(4,5),(7,10)]=>2 [(1,9),(2,6),(3,8),(4,5),(7,10)]=>2 [(1,10),(2,6),(3,8),(4,5),(7,9)]=>2 [(1,10),(2,5),(3,8),(4,6),(7,9)]=>2 [(1,9),(2,5),(3,8),(4,6),(7,10)]=>2 [(1,8),(2,5),(3,9),(4,6),(7,10)]=>2 [(1,7),(2,5),(3,9),(4,6),(8,10)]=>2 [(1,6),(2,5),(3,9),(4,7),(8,10)]=>2 [(1,5),(2,6),(3,9),(4,7),(8,10)]=>2 [(1,4),(2,6),(3,9),(5,7),(8,10)]=>2 [(1,3),(2,6),(4,9),(5,7),(8,10)]=>2 [(1,2),(3,6),(4,9),(5,7),(8,10)]=>2 [(1,2),(3,5),(4,9),(6,7),(8,10)]=>2 [(1,3),(2,5),(4,9),(6,7),(8,10)]=>2 [(1,4),(2,5),(3,9),(6,7),(8,10)]=>2 [(1,5),(2,4),(3,9),(6,7),(8,10)]=>2 [(1,6),(2,4),(3,9),(5,7),(8,10)]=>2 [(1,7),(2,4),(3,9),(5,6),(8,10)]=>2 [(1,8),(2,4),(3,9),(5,6),(7,10)]=>2 [(1,9),(2,4),(3,8),(5,6),(7,10)]=>2 [(1,10),(2,4),(3,8),(5,6),(7,9)]=>2 [(1,10),(2,3),(4,8),(5,6),(7,9)]=>2 [(1,9),(2,3),(4,8),(5,6),(7,10)]=>2 [(1,8),(2,3),(4,9),(5,6),(7,10)]=>2 [(1,7),(2,3),(4,9),(5,6),(8,10)]=>2 [(1,6),(2,3),(4,9),(5,7),(8,10)]=>2 [(1,5),(2,3),(4,9),(6,7),(8,10)]=>2 [(1,4),(2,3),(5,9),(6,7),(8,10)]=>2 [(1,3),(2,4),(5,9),(6,7),(8,10)]=>2 [(1,2),(3,4),(5,9),(6,7),(8,10)]=>2 [(1,2),(3,4),(5,10),(6,7),(8,9)]=>2 [(1,3),(2,4),(5,10),(6,7),(8,9)]=>2 [(1,4),(2,3),(5,10),(6,7),(8,9)]=>2 [(1,5),(2,3),(4,10),(6,7),(8,9)]=>2 [(1,6),(2,3),(4,10),(5,7),(8,9)]=>2 [(1,7),(2,3),(4,10),(5,6),(8,9)]=>2 [(1,8),(2,3),(4,10),(5,6),(7,9)]=>2 [(1,9),(2,3),(4,10),(5,6),(7,8)]=>2 [(1,10),(2,3),(4,9),(5,6),(7,8)]=>2 [(1,10),(2,4),(3,9),(5,6),(7,8)]=>2 [(1,9),(2,4),(3,10),(5,6),(7,8)]=>2 [(1,8),(2,4),(3,10),(5,6),(7,9)]=>2 [(1,7),(2,4),(3,10),(5,6),(8,9)]=>2 [(1,6),(2,4),(3,10),(5,7),(8,9)]=>2 [(1,5),(2,4),(3,10),(6,7),(8,9)]=>2 [(1,4),(2,5),(3,10),(6,7),(8,9)]=>2 [(1,3),(2,5),(4,10),(6,7),(8,9)]=>2 [(1,2),(3,5),(4,10),(6,7),(8,9)]=>2 [(1,2),(3,6),(4,10),(5,7),(8,9)]=>2 [(1,3),(2,6),(4,10),(5,7),(8,9)]=>2 [(1,4),(2,6),(3,10),(5,7),(8,9)]=>2 [(1,5),(2,6),(3,10),(4,7),(8,9)]=>2 [(1,6),(2,5),(3,10),(4,7),(8,9)]=>2 [(1,7),(2,5),(3,10),(4,6),(8,9)]=>2 [(1,8),(2,5),(3,10),(4,6),(7,9)]=>2 [(1,9),(2,5),(3,10),(4,6),(7,8)]=>2 [(1,10),(2,5),(3,9),(4,6),(7,8)]=>2 [(1,10),(2,6),(3,9),(4,5),(7,8)]=>2 [(1,9),(2,6),(3,10),(4,5),(7,8)]=>2 [(1,8),(2,6),(3,10),(4,5),(7,9)]=>2 [(1,7),(2,6),(3,10),(4,5),(8,9)]=>2 [(1,6),(2,7),(3,10),(4,5),(8,9)]=>2 [(1,5),(2,7),(3,10),(4,6),(8,9)]=>2 [(1,4),(2,7),(3,10),(5,6),(8,9)]=>2 [(1,3),(2,7),(4,10),(5,6),(8,9)]=>2 [(1,2),(3,7),(4,10),(5,6),(8,9)]=>2 [(1,2),(3,8),(4,10),(5,6),(7,9)]=>2 [(1,3),(2,8),(4,10),(5,6),(7,9)]=>2 [(1,4),(2,8),(3,10),(5,6),(7,9)]=>2 [(1,5),(2,8),(3,10),(4,6),(7,9)]=>2 [(1,6),(2,8),(3,10),(4,5),(7,9)]=>2 [(1,7),(2,8),(3,10),(4,5),(6,9)]=>1 [(1,8),(2,7),(3,10),(4,5),(6,9)]=>1 [(1,9),(2,7),(3,10),(4,5),(6,8)]=>1 [(1,10),(2,7),(3,9),(4,5),(6,8)]=>1 [(1,10),(2,8),(3,9),(4,5),(6,7)]=>1 [(1,9),(2,8),(3,10),(4,5),(6,7)]=>1 [(1,8),(2,9),(3,10),(4,5),(6,7)]=>1 [(1,7),(2,9),(3,10),(4,5),(6,8)]=>1 [(1,6),(2,9),(3,10),(4,5),(7,8)]=>2 [(1,5),(2,9),(3,10),(4,6),(7,8)]=>2 [(1,4),(2,9),(3,10),(5,6),(7,8)]=>2 [(1,3),(2,9),(4,10),(5,6),(7,8)]=>2 [(1,2),(3,9),(4,10),(5,6),(7,8)]=>2 [(1,2),(3,10),(4,9),(5,6),(7,8)]=>2 [(1,3),(2,10),(4,9),(5,6),(7,8)]=>2 [(1,4),(2,10),(3,9),(5,6),(7,8)]=>2 [(1,5),(2,10),(3,9),(4,6),(7,8)]=>2 [(1,6),(2,10),(3,9),(4,5),(7,8)]=>2 [(1,7),(2,10),(3,9),(4,5),(6,8)]=>1 [(1,8),(2,10),(3,9),(4,5),(6,7)]=>1 [(1,9),(2,10),(3,8),(4,5),(6,7)]=>1 [(1,10),(2,9),(3,8),(4,5),(6,7)]=>1 [(1,10),(2,9),(3,8),(4,6),(5,7)]=>1 [(1,9),(2,10),(3,8),(4,6),(5,7)]=>1 [(1,8),(2,10),(3,9),(4,6),(5,7)]=>1 [(1,7),(2,10),(3,9),(4,6),(5,8)]=>1 [(1,6),(2,10),(3,9),(4,7),(5,8)]=>1 [(1,5),(2,10),(3,9),(4,7),(6,8)]=>1 [(1,4),(2,10),(3,9),(5,7),(6,8)]=>1 [(1,3),(2,10),(4,9),(5,7),(6,8)]=>1 [(1,2),(3,10),(4,9),(5,7),(6,8)]=>1 [(1,2),(3,9),(4,10),(5,7),(6,8)]=>1 [(1,3),(2,9),(4,10),(5,7),(6,8)]=>1 [(1,4),(2,9),(3,10),(5,7),(6,8)]=>1 [(1,5),(2,9),(3,10),(4,7),(6,8)]=>1 [(1,6),(2,9),(3,10),(4,7),(5,8)]=>1 [(1,7),(2,9),(3,10),(4,6),(5,8)]=>1 [(1,8),(2,9),(3,10),(4,6),(5,7)]=>1 [(1,9),(2,8),(3,10),(4,6),(5,7)]=>1 [(1,10),(2,8),(3,9),(4,6),(5,7)]=>1 [(1,10),(2,7),(3,9),(4,6),(5,8)]=>1 [(1,9),(2,7),(3,10),(4,6),(5,8)]=>1 [(1,8),(2,7),(3,10),(4,6),(5,9)]=>1 [(1,7),(2,8),(3,10),(4,6),(5,9)]=>1 [(1,6),(2,8),(3,10),(4,7),(5,9)]=>1 [(1,5),(2,8),(3,10),(4,7),(6,9)]=>1 [(1,4),(2,8),(3,10),(5,7),(6,9)]=>1 [(1,3),(2,8),(4,10),(5,7),(6,9)]=>1 [(1,2),(3,8),(4,10),(5,7),(6,9)]=>1 [(1,2),(3,7),(4,10),(5,8),(6,9)]=>1 [(1,3),(2,7),(4,10),(5,8),(6,9)]=>1 [(1,4),(2,7),(3,10),(5,8),(6,9)]=>1 [(1,5),(2,7),(3,10),(4,8),(6,9)]=>1 [(1,6),(2,7),(3,10),(4,8),(5,9)]=>1 [(1,7),(2,6),(3,10),(4,8),(5,9)]=>1 [(1,8),(2,6),(3,10),(4,7),(5,9)]=>1 [(1,9),(2,6),(3,10),(4,7),(5,8)]=>1 [(1,10),(2,6),(3,9),(4,7),(5,8)]=>1 [(1,10),(2,5),(3,9),(4,7),(6,8)]=>1 [(1,9),(2,5),(3,10),(4,7),(6,8)]=>1 [(1,8),(2,5),(3,10),(4,7),(6,9)]=>1 [(1,7),(2,5),(3,10),(4,8),(6,9)]=>1 [(1,6),(2,5),(3,10),(4,8),(7,9)]=>2 [(1,5),(2,6),(3,10),(4,8),(7,9)]=>2 [(1,4),(2,6),(3,10),(5,8),(7,9)]=>2 [(1,3),(2,6),(4,10),(5,8),(7,9)]=>2 [(1,2),(3,6),(4,10),(5,8),(7,9)]=>2 [(1,2),(3,5),(4,10),(6,8),(7,9)]=>2 [(1,3),(2,5),(4,10),(6,8),(7,9)]=>2 [(1,4),(2,5),(3,10),(6,8),(7,9)]=>2 [(1,5),(2,4),(3,10),(6,8),(7,9)]=>2 [(1,6),(2,4),(3,10),(5,8),(7,9)]=>2 [(1,7),(2,4),(3,10),(5,8),(6,9)]=>1 [(1,8),(2,4),(3,10),(5,7),(6,9)]=>1 [(1,9),(2,4),(3,10),(5,7),(6,8)]=>1 [(1,10),(2,4),(3,9),(5,7),(6,8)]=>1 [(1,10),(2,3),(4,9),(5,7),(6,8)]=>1 [(1,9),(2,3),(4,10),(5,7),(6,8)]=>1 [(1,8),(2,3),(4,10),(5,7),(6,9)]=>1 [(1,7),(2,3),(4,10),(5,8),(6,9)]=>1 [(1,6),(2,3),(4,10),(5,8),(7,9)]=>2 [(1,5),(2,3),(4,10),(6,8),(7,9)]=>2 [(1,4),(2,3),(5,10),(6,8),(7,9)]=>2 [(1,3),(2,4),(5,10),(6,8),(7,9)]=>2 [(1,2),(3,4),(5,10),(6,8),(7,9)]=>2 [(1,2),(3,4),(5,9),(6,8),(7,10)]=>2 [(1,3),(2,4),(5,9),(6,8),(7,10)]=>2 [(1,4),(2,3),(5,9),(6,8),(7,10)]=>2 [(1,5),(2,3),(4,9),(6,8),(7,10)]=>2 [(1,6),(2,3),(4,9),(5,8),(7,10)]=>2 [(1,7),(2,3),(4,9),(5,8),(6,10)]=>1 [(1,8),(2,3),(4,9),(5,7),(6,10)]=>1 [(1,9),(2,3),(4,8),(5,7),(6,10)]=>1 [(1,10),(2,3),(4,8),(5,7),(6,9)]=>1 [(1,10),(2,4),(3,8),(5,7),(6,9)]=>1 [(1,9),(2,4),(3,8),(5,7),(6,10)]=>1 [(1,8),(2,4),(3,9),(5,7),(6,10)]=>1 [(1,7),(2,4),(3,9),(5,8),(6,10)]=>1 [(1,6),(2,4),(3,9),(5,8),(7,10)]=>2 [(1,5),(2,4),(3,9),(6,8),(7,10)]=>2 [(1,4),(2,5),(3,9),(6,8),(7,10)]=>2 [(1,3),(2,5),(4,9),(6,8),(7,10)]=>2 [(1,2),(3,5),(4,9),(6,8),(7,10)]=>2 [(1,2),(3,6),(4,9),(5,8),(7,10)]=>2 [(1,3),(2,6),(4,9),(5,8),(7,10)]=>2 [(1,4),(2,6),(3,9),(5,8),(7,10)]=>2 [(1,5),(2,6),(3,9),(4,8),(7,10)]=>2 [(1,6),(2,5),(3,9),(4,8),(7,10)]=>2 [(1,7),(2,5),(3,9),(4,8),(6,10)]=>1 [(1,8),(2,5),(3,9),(4,7),(6,10)]=>1 [(1,9),(2,5),(3,8),(4,7),(6,10)]=>1 [(1,10),(2,5),(3,8),(4,7),(6,9)]=>1 [(1,10),(2,6),(3,8),(4,7),(5,9)]=>1 [(1,9),(2,6),(3,8),(4,7),(5,10)]=>1 [(1,8),(2,6),(3,9),(4,7),(5,10)]=>1 [(1,7),(2,6),(3,9),(4,8),(5,10)]=>1 [(1,6),(2,7),(3,9),(4,8),(5,10)]=>1 [(1,5),(2,7),(3,9),(4,8),(6,10)]=>1 [(1,4),(2,7),(3,9),(5,8),(6,10)]=>1 [(1,3),(2,7),(4,9),(5,8),(6,10)]=>1 [(1,2),(3,7),(4,9),(5,8),(6,10)]=>1 [(1,2),(3,8),(4,9),(5,7),(6,10)]=>1 [(1,3),(2,8),(4,9),(5,7),(6,10)]=>1 [(1,4),(2,8),(3,9),(5,7),(6,10)]=>1 [(1,5),(2,8),(3,9),(4,7),(6,10)]=>1 [(1,6),(2,8),(3,9),(4,7),(5,10)]=>1 [(1,7),(2,8),(3,9),(4,6),(5,10)]=>1 [(1,8),(2,7),(3,9),(4,6),(5,10)]=>1 [(1,9),(2,7),(3,8),(4,6),(5,10)]=>1 [(1,10),(2,7),(3,8),(4,6),(5,9)]=>1 [(1,10),(2,8),(3,7),(4,6),(5,9)]=>1 [(1,9),(2,8),(3,7),(4,6),(5,10)]=>1 [(1,8),(2,9),(3,7),(4,6),(5,10)]=>1 [(1,7),(2,9),(3,8),(4,6),(5,10)]=>1 [(1,6),(2,9),(3,8),(4,7),(5,10)]=>1 [(1,5),(2,9),(3,8),(4,7),(6,10)]=>1 [(1,4),(2,9),(3,8),(5,7),(6,10)]=>1 [(1,3),(2,9),(4,8),(5,7),(6,10)]=>1 [(1,2),(3,9),(4,8),(5,7),(6,10)]=>1 [(1,2),(3,10),(4,8),(5,7),(6,9)]=>1 [(1,3),(2,10),(4,8),(5,7),(6,9)]=>1 [(1,4),(2,10),(3,8),(5,7),(6,9)]=>1 [(1,5),(2,10),(3,8),(4,7),(6,9)]=>1 [(1,6),(2,10),(3,8),(4,7),(5,9)]=>1 [(1,7),(2,10),(3,8),(4,6),(5,9)]=>1 [(1,8),(2,10),(3,7),(4,6),(5,9)]=>1 [(1,9),(2,10),(3,7),(4,6),(5,8)]=>1 [(1,10),(2,9),(3,7),(4,6),(5,8)]=>1 [(1,10),(2,9),(3,6),(4,7),(5,8)]=>1 [(1,9),(2,10),(3,6),(4,7),(5,8)]=>1 [(1,8),(2,10),(3,6),(4,7),(5,9)]=>1 [(1,7),(2,10),(3,6),(4,8),(5,9)]=>1 [(1,6),(2,10),(3,7),(4,8),(5,9)]=>1 [(1,5),(2,10),(3,7),(4,8),(6,9)]=>1 [(1,4),(2,10),(3,7),(5,8),(6,9)]=>1 [(1,3),(2,10),(4,7),(5,8),(6,9)]=>1 [(1,2),(3,10),(4,7),(5,8),(6,9)]=>1 [(1,2),(3,9),(4,7),(5,8),(6,10)]=>1 [(1,3),(2,9),(4,7),(5,8),(6,10)]=>1 [(1,4),(2,9),(3,7),(5,8),(6,10)]=>1 [(1,5),(2,9),(3,7),(4,8),(6,10)]=>1 [(1,6),(2,9),(3,7),(4,8),(5,10)]=>1 [(1,7),(2,9),(3,6),(4,8),(5,10)]=>1 [(1,8),(2,9),(3,6),(4,7),(5,10)]=>1 [(1,9),(2,8),(3,6),(4,7),(5,10)]=>1 [(1,10),(2,8),(3,6),(4,7),(5,9)]=>1 [(1,10),(2,7),(3,6),(4,8),(5,9)]=>1 [(1,9),(2,7),(3,6),(4,8),(5,10)]=>1 [(1,8),(2,7),(3,6),(4,9),(5,10)]=>1 [(1,7),(2,8),(3,6),(4,9),(5,10)]=>1 [(1,6),(2,8),(3,7),(4,9),(5,10)]=>1 [(1,5),(2,8),(3,7),(4,9),(6,10)]=>1 [(1,4),(2,8),(3,7),(5,9),(6,10)]=>1 [(1,3),(2,8),(4,7),(5,9),(6,10)]=>1 [(1,2),(3,8),(4,7),(5,9),(6,10)]=>1 [(1,2),(3,7),(4,8),(5,9),(6,10)]=>1 [(1,3),(2,7),(4,8),(5,9),(6,10)]=>1 [(1,4),(2,7),(3,8),(5,9),(6,10)]=>1 [(1,5),(2,7),(3,8),(4,9),(6,10)]=>1 [(1,6),(2,7),(3,8),(4,9),(5,10)]=>1 [(1,7),(2,6),(3,8),(4,9),(5,10)]=>1 [(1,8),(2,6),(3,7),(4,9),(5,10)]=>1 [(1,9),(2,6),(3,7),(4,8),(5,10)]=>1 [(1,10),(2,6),(3,7),(4,8),(5,9)]=>1 [(1,10),(2,5),(3,7),(4,8),(6,9)]=>1 [(1,9),(2,5),(3,7),(4,8),(6,10)]=>1 [(1,8),(2,5),(3,7),(4,9),(6,10)]=>1 [(1,7),(2,5),(3,8),(4,9),(6,10)]=>1 [(1,6),(2,5),(3,8),(4,9),(7,10)]=>2 [(1,5),(2,6),(3,8),(4,9),(7,10)]=>2 [(1,4),(2,6),(3,8),(5,9),(7,10)]=>2 [(1,3),(2,6),(4,8),(5,9),(7,10)]=>2 [(1,2),(3,6),(4,8),(5,9),(7,10)]=>2 [(1,2),(3,5),(4,8),(6,9),(7,10)]=>2 [(1,3),(2,5),(4,8),(6,9),(7,10)]=>2 [(1,4),(2,5),(3,8),(6,9),(7,10)]=>2 [(1,5),(2,4),(3,8),(6,9),(7,10)]=>2 [(1,6),(2,4),(3,8),(5,9),(7,10)]=>2 [(1,7),(2,4),(3,8),(5,9),(6,10)]=>1 [(1,8),(2,4),(3,7),(5,9),(6,10)]=>1 [(1,9),(2,4),(3,7),(5,8),(6,10)]=>1 [(1,10),(2,4),(3,7),(5,8),(6,9)]=>1 [(1,10),(2,3),(4,7),(5,8),(6,9)]=>1 [(1,9),(2,3),(4,7),(5,8),(6,10)]=>1 [(1,8),(2,3),(4,7),(5,9),(6,10)]=>1 [(1,7),(2,3),(4,8),(5,9),(6,10)]=>1 [(1,6),(2,3),(4,8),(5,9),(7,10)]=>2 [(1,5),(2,3),(4,8),(6,9),(7,10)]=>2 [(1,4),(2,3),(5,8),(6,9),(7,10)]=>2 [(1,3),(2,4),(5,8),(6,9),(7,10)]=>2 [(1,2),(3,4),(5,8),(6,9),(7,10)]=>2 [(1,2),(3,4),(5,7),(6,9),(8,10)]=>2 [(1,3),(2,4),(5,7),(6,9),(8,10)]=>2 [(1,4),(2,3),(5,7),(6,9),(8,10)]=>2 [(1,5),(2,3),(4,7),(6,9),(8,10)]=>2 [(1,6),(2,3),(4,7),(5,9),(8,10)]=>2 [(1,7),(2,3),(4,6),(5,9),(8,10)]=>2 [(1,8),(2,3),(4,6),(5,9),(7,10)]=>2 [(1,9),(2,3),(4,6),(5,8),(7,10)]=>2 [(1,10),(2,3),(4,6),(5,8),(7,9)]=>2 [(1,10),(2,4),(3,6),(5,8),(7,9)]=>2 [(1,9),(2,4),(3,6),(5,8),(7,10)]=>2 [(1,8),(2,4),(3,6),(5,9),(7,10)]=>2 [(1,7),(2,4),(3,6),(5,9),(8,10)]=>2 [(1,6),(2,4),(3,7),(5,9),(8,10)]=>2 [(1,5),(2,4),(3,7),(6,9),(8,10)]=>2 [(1,4),(2,5),(3,7),(6,9),(8,10)]=>2 [(1,3),(2,5),(4,7),(6,9),(8,10)]=>2 [(1,2),(3,5),(4,7),(6,9),(8,10)]=>2 [(1,2),(3,6),(4,7),(5,9),(8,10)]=>2 [(1,3),(2,6),(4,7),(5,9),(8,10)]=>2 [(1,4),(2,6),(3,7),(5,9),(8,10)]=>2 [(1,5),(2,6),(3,7),(4,9),(8,10)]=>2 [(1,6),(2,5),(3,7),(4,9),(8,10)]=>2 [(1,7),(2,5),(3,6),(4,9),(8,10)]=>2 [(1,8),(2,5),(3,6),(4,9),(7,10)]=>2 [(1,9),(2,5),(3,6),(4,8),(7,10)]=>2 [(1,10),(2,5),(3,6),(4,8),(7,9)]=>2 [(1,10),(2,6),(3,5),(4,8),(7,9)]=>2 [(1,9),(2,6),(3,5),(4,8),(7,10)]=>2 [(1,8),(2,6),(3,5),(4,9),(7,10)]=>2 [(1,7),(2,6),(3,5),(4,9),(8,10)]=>2 [(1,6),(2,7),(3,5),(4,9),(8,10)]=>2 [(1,5),(2,7),(3,6),(4,9),(8,10)]=>2 [(1,4),(2,7),(3,6),(5,9),(8,10)]=>2 [(1,3),(2,7),(4,6),(5,9),(8,10)]=>2 [(1,2),(3,7),(4,6),(5,9),(8,10)]=>2 [(1,2),(3,8),(4,6),(5,9),(7,10)]=>2 [(1,3),(2,8),(4,6),(5,9),(7,10)]=>2 [(1,4),(2,8),(3,6),(5,9),(7,10)]=>2 [(1,5),(2,8),(3,6),(4,9),(7,10)]=>2 [(1,6),(2,8),(3,5),(4,9),(7,10)]=>2 [(1,7),(2,8),(3,5),(4,9),(6,10)]=>1 [(1,8),(2,7),(3,5),(4,9),(6,10)]=>1 [(1,9),(2,7),(3,5),(4,8),(6,10)]=>1 [(1,10),(2,7),(3,5),(4,8),(6,9)]=>1 [(1,10),(2,8),(3,5),(4,7),(6,9)]=>1 [(1,9),(2,8),(3,5),(4,7),(6,10)]=>1 [(1,8),(2,9),(3,5),(4,7),(6,10)]=>1 [(1,7),(2,9),(3,5),(4,8),(6,10)]=>1 [(1,6),(2,9),(3,5),(4,8),(7,10)]=>2 [(1,5),(2,9),(3,6),(4,8),(7,10)]=>2 [(1,4),(2,9),(3,6),(5,8),(7,10)]=>2 [(1,3),(2,9),(4,6),(5,8),(7,10)]=>2 [(1,2),(3,9),(4,6),(5,8),(7,10)]=>2 [(1,2),(3,10),(4,6),(5,8),(7,9)]=>2 [(1,3),(2,10),(4,6),(5,8),(7,9)]=>2 [(1,4),(2,10),(3,6),(5,8),(7,9)]=>2 [(1,5),(2,10),(3,6),(4,8),(7,9)]=>2 [(1,6),(2,10),(3,5),(4,8),(7,9)]=>2 [(1,7),(2,10),(3,5),(4,8),(6,9)]=>1 [(1,8),(2,10),(3,5),(4,7),(6,9)]=>1 [(1,9),(2,10),(3,5),(4,7),(6,8)]=>1 [(1,10),(2,9),(3,5),(4,7),(6,8)]=>1 [(1,10),(2,9),(3,4),(5,7),(6,8)]=>1 [(1,9),(2,10),(3,4),(5,7),(6,8)]=>1 [(1,8),(2,10),(3,4),(5,7),(6,9)]=>1 [(1,7),(2,10),(3,4),(5,8),(6,9)]=>1 [(1,6),(2,10),(3,4),(5,8),(7,9)]=>2 [(1,5),(2,10),(3,4),(6,8),(7,9)]=>2 [(1,4),(2,10),(3,5),(6,8),(7,9)]=>2 [(1,3),(2,10),(4,5),(6,8),(7,9)]=>2 [(1,2),(3,10),(4,5),(6,8),(7,9)]=>2 [(1,2),(3,9),(4,5),(6,8),(7,10)]=>2 [(1,3),(2,9),(4,5),(6,8),(7,10)]=>2 [(1,4),(2,9),(3,5),(6,8),(7,10)]=>2 [(1,5),(2,9),(3,4),(6,8),(7,10)]=>2 [(1,6),(2,9),(3,4),(5,8),(7,10)]=>2 [(1,7),(2,9),(3,4),(5,8),(6,10)]=>1 [(1,8),(2,9),(3,4),(5,7),(6,10)]=>1 [(1,9),(2,8),(3,4),(5,7),(6,10)]=>1 [(1,10),(2,8),(3,4),(5,7),(6,9)]=>1 [(1,10),(2,7),(3,4),(5,8),(6,9)]=>1 [(1,9),(2,7),(3,4),(5,8),(6,10)]=>1 [(1,8),(2,7),(3,4),(5,9),(6,10)]=>1 [(1,7),(2,8),(3,4),(5,9),(6,10)]=>1 [(1,6),(2,8),(3,4),(5,9),(7,10)]=>2 [(1,5),(2,8),(3,4),(6,9),(7,10)]=>2 [(1,4),(2,8),(3,5),(6,9),(7,10)]=>2 [(1,3),(2,8),(4,5),(6,9),(7,10)]=>2 [(1,2),(3,8),(4,5),(6,9),(7,10)]=>2 [(1,2),(3,7),(4,5),(6,9),(8,10)]=>2 [(1,3),(2,7),(4,5),(6,9),(8,10)]=>2 [(1,4),(2,7),(3,5),(6,9),(8,10)]=>2 [(1,5),(2,7),(3,4),(6,9),(8,10)]=>2 [(1,6),(2,7),(3,4),(5,9),(8,10)]=>2 [(1,7),(2,6),(3,4),(5,9),(8,10)]=>2 [(1,8),(2,6),(3,4),(5,9),(7,10)]=>2 [(1,9),(2,6),(3,4),(5,8),(7,10)]=>2 [(1,10),(2,6),(3,4),(5,8),(7,9)]=>2 [(1,10),(2,5),(3,4),(6,8),(7,9)]=>2 [(1,9),(2,5),(3,4),(6,8),(7,10)]=>2 [(1,8),(2,5),(3,4),(6,9),(7,10)]=>2 [(1,7),(2,5),(3,4),(6,9),(8,10)]=>2 [(1,6),(2,5),(3,4),(7,9),(8,10)]=>3 [(1,5),(2,6),(3,4),(7,9),(8,10)]=>3 [(1,4),(2,6),(3,5),(7,9),(8,10)]=>3 [(1,3),(2,6),(4,5),(7,9),(8,10)]=>3 [(1,2),(3,6),(4,5),(7,9),(8,10)]=>3 [(1,2),(3,5),(4,6),(7,9),(8,10)]=>3 [(1,3),(2,5),(4,6),(7,9),(8,10)]=>3 [(1,4),(2,5),(3,6),(7,9),(8,10)]=>3 [(1,5),(2,4),(3,6),(7,9),(8,10)]=>3 [(1,6),(2,4),(3,5),(7,9),(8,10)]=>3 [(1,7),(2,4),(3,5),(6,9),(8,10)]=>2 [(1,8),(2,4),(3,5),(6,9),(7,10)]=>2 [(1,9),(2,4),(3,5),(6,8),(7,10)]=>2 [(1,10),(2,4),(3,5),(6,8),(7,9)]=>2 [(1,10),(2,3),(4,5),(6,8),(7,9)]=>2 [(1,9),(2,3),(4,5),(6,8),(7,10)]=>2 [(1,8),(2,3),(4,5),(6,9),(7,10)]=>2 [(1,7),(2,3),(4,5),(6,9),(8,10)]=>2 [(1,6),(2,3),(4,5),(7,9),(8,10)]=>3 [(1,5),(2,3),(4,6),(7,9),(8,10)]=>3 [(1,4),(2,3),(5,6),(7,9),(8,10)]=>3 [(1,3),(2,4),(5,6),(7,9),(8,10)]=>3 [(1,2),(3,4),(5,6),(7,9),(8,10)]=>3 [(1,2),(3,4),(5,6),(7,10),(8,9)]=>3 [(1,3),(2,4),(5,6),(7,10),(8,9)]=>3 [(1,4),(2,3),(5,6),(7,10),(8,9)]=>3 [(1,5),(2,3),(4,6),(7,10),(8,9)]=>3 [(1,6),(2,3),(4,5),(7,10),(8,9)]=>3 [(1,7),(2,3),(4,5),(6,10),(8,9)]=>2 [(1,8),(2,3),(4,5),(6,10),(7,9)]=>2 [(1,9),(2,3),(4,5),(6,10),(7,8)]=>2 [(1,10),(2,3),(4,5),(6,9),(7,8)]=>2 [(1,10),(2,4),(3,5),(6,9),(7,8)]=>2 [(1,9),(2,4),(3,5),(6,10),(7,8)]=>2 [(1,8),(2,4),(3,5),(6,10),(7,9)]=>2 [(1,7),(2,4),(3,5),(6,10),(8,9)]=>2 [(1,6),(2,4),(3,5),(7,10),(8,9)]=>3 [(1,5),(2,4),(3,6),(7,10),(8,9)]=>3 [(1,4),(2,5),(3,6),(7,10),(8,9)]=>3 [(1,3),(2,5),(4,6),(7,10),(8,9)]=>3 [(1,2),(3,5),(4,6),(7,10),(8,9)]=>3 [(1,2),(3,6),(4,5),(7,10),(8,9)]=>3 [(1,3),(2,6),(4,5),(7,10),(8,9)]=>3 [(1,4),(2,6),(3,5),(7,10),(8,9)]=>3 [(1,5),(2,6),(3,4),(7,10),(8,9)]=>3 [(1,6),(2,5),(3,4),(7,10),(8,9)]=>3 [(1,7),(2,5),(3,4),(6,10),(8,9)]=>2 [(1,8),(2,5),(3,4),(6,10),(7,9)]=>2 [(1,9),(2,5),(3,4),(6,10),(7,8)]=>2 [(1,10),(2,5),(3,4),(6,9),(7,8)]=>2 [(1,10),(2,6),(3,4),(5,9),(7,8)]=>2 [(1,9),(2,6),(3,4),(5,10),(7,8)]=>2 [(1,8),(2,6),(3,4),(5,10),(7,9)]=>2 [(1,7),(2,6),(3,4),(5,10),(8,9)]=>2 [(1,6),(2,7),(3,4),(5,10),(8,9)]=>2 [(1,5),(2,7),(3,4),(6,10),(8,9)]=>2 [(1,4),(2,7),(3,5),(6,10),(8,9)]=>2 [(1,3),(2,7),(4,5),(6,10),(8,9)]=>2 [(1,2),(3,7),(4,5),(6,10),(8,9)]=>2 [(1,2),(3,8),(4,5),(6,10),(7,9)]=>2 [(1,3),(2,8),(4,5),(6,10),(7,9)]=>2 [(1,4),(2,8),(3,5),(6,10),(7,9)]=>2 [(1,5),(2,8),(3,4),(6,10),(7,9)]=>2 [(1,6),(2,8),(3,4),(5,10),(7,9)]=>2 [(1,7),(2,8),(3,4),(5,10),(6,9)]=>1 [(1,8),(2,7),(3,4),(5,10),(6,9)]=>1 [(1,9),(2,7),(3,4),(5,10),(6,8)]=>1 [(1,10),(2,7),(3,4),(5,9),(6,8)]=>1 [(1,10),(2,8),(3,4),(5,9),(6,7)]=>1 [(1,9),(2,8),(3,4),(5,10),(6,7)]=>1 [(1,8),(2,9),(3,4),(5,10),(6,7)]=>1 [(1,7),(2,9),(3,4),(5,10),(6,8)]=>1 [(1,6),(2,9),(3,4),(5,10),(7,8)]=>2 [(1,5),(2,9),(3,4),(6,10),(7,8)]=>2 [(1,4),(2,9),(3,5),(6,10),(7,8)]=>2 [(1,3),(2,9),(4,5),(6,10),(7,8)]=>2 [(1,2),(3,9),(4,5),(6,10),(7,8)]=>2 [(1,2),(3,10),(4,5),(6,9),(7,8)]=>2 [(1,3),(2,10),(4,5),(6,9),(7,8)]=>2 [(1,4),(2,10),(3,5),(6,9),(7,8)]=>2 [(1,5),(2,10),(3,4),(6,9),(7,8)]=>2 [(1,6),(2,10),(3,4),(5,9),(7,8)]=>2 [(1,7),(2,10),(3,4),(5,9),(6,8)]=>1 [(1,8),(2,10),(3,4),(5,9),(6,7)]=>1 [(1,9),(2,10),(3,4),(5,8),(6,7)]=>1 [(1,10),(2,9),(3,4),(5,8),(6,7)]=>1 [(1,10),(2,9),(3,5),(4,8),(6,7)]=>1 [(1,9),(2,10),(3,5),(4,8),(6,7)]=>1 [(1,8),(2,10),(3,5),(4,9),(6,7)]=>1 [(1,7),(2,10),(3,5),(4,9),(6,8)]=>1 [(1,6),(2,10),(3,5),(4,9),(7,8)]=>2 [(1,5),(2,10),(3,6),(4,9),(7,8)]=>2 [(1,4),(2,10),(3,6),(5,9),(7,8)]=>2 [(1,3),(2,10),(4,6),(5,9),(7,8)]=>2 [(1,2),(3,10),(4,6),(5,9),(7,8)]=>2 [(1,2),(3,9),(4,6),(5,10),(7,8)]=>2 [(1,3),(2,9),(4,6),(5,10),(7,8)]=>2 [(1,4),(2,9),(3,6),(5,10),(7,8)]=>2 [(1,5),(2,9),(3,6),(4,10),(7,8)]=>2 [(1,6),(2,9),(3,5),(4,10),(7,8)]=>2 [(1,7),(2,9),(3,5),(4,10),(6,8)]=>1 [(1,8),(2,9),(3,5),(4,10),(6,7)]=>1 [(1,9),(2,8),(3,5),(4,10),(6,7)]=>1 [(1,10),(2,8),(3,5),(4,9),(6,7)]=>1 [(1,10),(2,7),(3,5),(4,9),(6,8)]=>1 [(1,9),(2,7),(3,5),(4,10),(6,8)]=>1 [(1,8),(2,7),(3,5),(4,10),(6,9)]=>1 [(1,7),(2,8),(3,5),(4,10),(6,9)]=>1 [(1,6),(2,8),(3,5),(4,10),(7,9)]=>2 [(1,5),(2,8),(3,6),(4,10),(7,9)]=>2 [(1,4),(2,8),(3,6),(5,10),(7,9)]=>2 [(1,3),(2,8),(4,6),(5,10),(7,9)]=>2 [(1,2),(3,8),(4,6),(5,10),(7,9)]=>2 [(1,2),(3,7),(4,6),(5,10),(8,9)]=>2 [(1,3),(2,7),(4,6),(5,10),(8,9)]=>2 [(1,4),(2,7),(3,6),(5,10),(8,9)]=>2 [(1,5),(2,7),(3,6),(4,10),(8,9)]=>2 [(1,6),(2,7),(3,5),(4,10),(8,9)]=>2 [(1,7),(2,6),(3,5),(4,10),(8,9)]=>2 [(1,8),(2,6),(3,5),(4,10),(7,9)]=>2 [(1,9),(2,6),(3,5),(4,10),(7,8)]=>2 [(1,10),(2,6),(3,5),(4,9),(7,8)]=>2 [(1,10),(2,5),(3,6),(4,9),(7,8)]=>2 [(1,9),(2,5),(3,6),(4,10),(7,8)]=>2 [(1,8),(2,5),(3,6),(4,10),(7,9)]=>2 [(1,7),(2,5),(3,6),(4,10),(8,9)]=>2 [(1,6),(2,5),(3,7),(4,10),(8,9)]=>2 [(1,5),(2,6),(3,7),(4,10),(8,9)]=>2 [(1,4),(2,6),(3,7),(5,10),(8,9)]=>2 [(1,3),(2,6),(4,7),(5,10),(8,9)]=>2 [(1,2),(3,6),(4,7),(5,10),(8,9)]=>2 [(1,2),(3,5),(4,7),(6,10),(8,9)]=>2 [(1,3),(2,5),(4,7),(6,10),(8,9)]=>2 [(1,4),(2,5),(3,7),(6,10),(8,9)]=>2 [(1,5),(2,4),(3,7),(6,10),(8,9)]=>2 [(1,6),(2,4),(3,7),(5,10),(8,9)]=>2 [(1,7),(2,4),(3,6),(5,10),(8,9)]=>2 [(1,8),(2,4),(3,6),(5,10),(7,9)]=>2 [(1,9),(2,4),(3,6),(5,10),(7,8)]=>2 [(1,10),(2,4),(3,6),(5,9),(7,8)]=>2 [(1,10),(2,3),(4,6),(5,9),(7,8)]=>2 [(1,9),(2,3),(4,6),(5,10),(7,8)]=>2 [(1,8),(2,3),(4,6),(5,10),(7,9)]=>2 [(1,7),(2,3),(4,6),(5,10),(8,9)]=>2 [(1,6),(2,3),(4,7),(5,10),(8,9)]=>2 [(1,5),(2,3),(4,7),(6,10),(8,9)]=>2 [(1,4),(2,3),(5,7),(6,10),(8,9)]=>2 [(1,3),(2,4),(5,7),(6,10),(8,9)]=>2 [(1,2),(3,4),(5,7),(6,10),(8,9)]=>2 [(1,2),(3,4),(5,8),(6,10),(7,9)]=>2 [(1,3),(2,4),(5,8),(6,10),(7,9)]=>2 [(1,4),(2,3),(5,8),(6,10),(7,9)]=>2 [(1,5),(2,3),(4,8),(6,10),(7,9)]=>2 [(1,6),(2,3),(4,8),(5,10),(7,9)]=>2 [(1,7),(2,3),(4,8),(5,10),(6,9)]=>1 [(1,8),(2,3),(4,7),(5,10),(6,9)]=>1 [(1,9),(2,3),(4,7),(5,10),(6,8)]=>1 [(1,10),(2,3),(4,7),(5,9),(6,8)]=>1 [(1,10),(2,4),(3,7),(5,9),(6,8)]=>1 [(1,9),(2,4),(3,7),(5,10),(6,8)]=>1 [(1,8),(2,4),(3,7),(5,10),(6,9)]=>1 [(1,7),(2,4),(3,8),(5,10),(6,9)]=>1 [(1,6),(2,4),(3,8),(5,10),(7,9)]=>2 [(1,5),(2,4),(3,8),(6,10),(7,9)]=>2 [(1,4),(2,5),(3,8),(6,10),(7,9)]=>2 [(1,3),(2,5),(4,8),(6,10),(7,9)]=>2 [(1,2),(3,5),(4,8),(6,10),(7,9)]=>2 [(1,2),(3,6),(4,8),(5,10),(7,9)]=>2 [(1,3),(2,6),(4,8),(5,10),(7,9)]=>2 [(1,4),(2,6),(3,8),(5,10),(7,9)]=>2 [(1,5),(2,6),(3,8),(4,10),(7,9)]=>2 [(1,6),(2,5),(3,8),(4,10),(7,9)]=>2 [(1,7),(2,5),(3,8),(4,10),(6,9)]=>1 [(1,8),(2,5),(3,7),(4,10),(6,9)]=>1 [(1,9),(2,5),(3,7),(4,10),(6,8)]=>1 [(1,10),(2,5),(3,7),(4,9),(6,8)]=>1 [(1,10),(2,6),(3,7),(4,9),(5,8)]=>1 [(1,9),(2,6),(3,7),(4,10),(5,8)]=>1 [(1,8),(2,6),(3,7),(4,10),(5,9)]=>1 [(1,7),(2,6),(3,8),(4,10),(5,9)]=>1 [(1,6),(2,7),(3,8),(4,10),(5,9)]=>1 [(1,5),(2,7),(3,8),(4,10),(6,9)]=>1 [(1,4),(2,7),(3,8),(5,10),(6,9)]=>1 [(1,3),(2,7),(4,8),(5,10),(6,9)]=>1 [(1,2),(3,7),(4,8),(5,10),(6,9)]=>1 [(1,2),(3,8),(4,7),(5,10),(6,9)]=>1 [(1,3),(2,8),(4,7),(5,10),(6,9)]=>1 [(1,4),(2,8),(3,7),(5,10),(6,9)]=>1 [(1,5),(2,8),(3,7),(4,10),(6,9)]=>1 [(1,6),(2,8),(3,7),(4,10),(5,9)]=>1 [(1,7),(2,8),(3,6),(4,10),(5,9)]=>1 [(1,8),(2,7),(3,6),(4,10),(5,9)]=>1 [(1,9),(2,7),(3,6),(4,10),(5,8)]=>1 [(1,10),(2,7),(3,6),(4,9),(5,8)]=>1 [(1,10),(2,8),(3,6),(4,9),(5,7)]=>1 [(1,9),(2,8),(3,6),(4,10),(5,7)]=>1 [(1,8),(2,9),(3,6),(4,10),(5,7)]=>1 [(1,7),(2,9),(3,6),(4,10),(5,8)]=>1 [(1,6),(2,9),(3,7),(4,10),(5,8)]=>1 [(1,5),(2,9),(3,7),(4,10),(6,8)]=>1 [(1,4),(2,9),(3,7),(5,10),(6,8)]=>1 [(1,3),(2,9),(4,7),(5,10),(6,8)]=>1 [(1,2),(3,9),(4,7),(5,10),(6,8)]=>1 [(1,2),(3,10),(4,7),(5,9),(6,8)]=>1 [(1,3),(2,10),(4,7),(5,9),(6,8)]=>1 [(1,4),(2,10),(3,7),(5,9),(6,8)]=>1 [(1,5),(2,10),(3,7),(4,9),(6,8)]=>1 [(1,6),(2,10),(3,7),(4,9),(5,8)]=>1 [(1,7),(2,10),(3,6),(4,9),(5,8)]=>1 [(1,8),(2,10),(3,6),(4,9),(5,7)]=>1 [(1,9),(2,10),(3,6),(4,8),(5,7)]=>1 [(1,10),(2,9),(3,6),(4,8),(5,7)]=>1 [(1,10),(2,9),(3,7),(4,8),(5,6)]=>1 [(1,9),(2,10),(3,7),(4,8),(5,6)]=>1 [(1,8),(2,10),(3,7),(4,9),(5,6)]=>1 [(1,7),(2,10),(3,8),(4,9),(5,6)]=>1 [(1,6),(2,10),(3,8),(4,9),(5,7)]=>1 [(1,5),(2,10),(3,8),(4,9),(6,7)]=>1 [(1,4),(2,10),(3,8),(5,9),(6,7)]=>1 [(1,3),(2,10),(4,8),(5,9),(6,7)]=>1 [(1,2),(3,10),(4,8),(5,9),(6,7)]=>1 [(1,2),(3,9),(4,8),(5,10),(6,7)]=>1 [(1,3),(2,9),(4,8),(5,10),(6,7)]=>1 [(1,4),(2,9),(3,8),(5,10),(6,7)]=>1 [(1,5),(2,9),(3,8),(4,10),(6,7)]=>1 [(1,6),(2,9),(3,8),(4,10),(5,7)]=>1 [(1,7),(2,9),(3,8),(4,10),(5,6)]=>1 [(1,8),(2,9),(3,7),(4,10),(5,6)]=>1 [(1,9),(2,8),(3,7),(4,10),(5,6)]=>1 [(1,10),(2,8),(3,7),(4,9),(5,6)]=>1 [(1,10),(2,7),(3,8),(4,9),(5,6)]=>1 [(1,9),(2,7),(3,8),(4,10),(5,6)]=>1 [(1,8),(2,7),(3,9),(4,10),(5,6)]=>1 [(1,7),(2,8),(3,9),(4,10),(5,6)]=>1 [(1,6),(2,8),(3,9),(4,10),(5,7)]=>1 [(1,5),(2,8),(3,9),(4,10),(6,7)]=>1 [(1,4),(2,8),(3,9),(5,10),(6,7)]=>1 [(1,3),(2,8),(4,9),(5,10),(6,7)]=>1 [(1,2),(3,8),(4,9),(5,10),(6,7)]=>1 [(1,2),(3,7),(4,9),(5,10),(6,8)]=>1 [(1,3),(2,7),(4,9),(5,10),(6,8)]=>1 [(1,4),(2,7),(3,9),(5,10),(6,8)]=>1 [(1,5),(2,7),(3,9),(4,10),(6,8)]=>1 [(1,6),(2,7),(3,9),(4,10),(5,8)]=>1 [(1,7),(2,6),(3,9),(4,10),(5,8)]=>1 [(1,8),(2,6),(3,9),(4,10),(5,7)]=>1 [(1,9),(2,6),(3,8),(4,10),(5,7)]=>1 [(1,10),(2,6),(3,8),(4,9),(5,7)]=>1 [(1,10),(2,5),(3,8),(4,9),(6,7)]=>1 [(1,9),(2,5),(3,8),(4,10),(6,7)]=>1 [(1,8),(2,5),(3,9),(4,10),(6,7)]=>1 [(1,7),(2,5),(3,9),(4,10),(6,8)]=>1 [(1,6),(2,5),(3,9),(4,10),(7,8)]=>2 [(1,5),(2,6),(3,9),(4,10),(7,8)]=>2 [(1,4),(2,6),(3,9),(5,10),(7,8)]=>2 [(1,3),(2,6),(4,9),(5,10),(7,8)]=>2 [(1,2),(3,6),(4,9),(5,10),(7,8)]=>2 [(1,2),(3,5),(4,9),(6,10),(7,8)]=>2 [(1,3),(2,5),(4,9),(6,10),(7,8)]=>2 [(1,4),(2,5),(3,9),(6,10),(7,8)]=>2 [(1,5),(2,4),(3,9),(6,10),(7,8)]=>2 [(1,6),(2,4),(3,9),(5,10),(7,8)]=>2 [(1,7),(2,4),(3,9),(5,10),(6,8)]=>1 [(1,8),(2,4),(3,9),(5,10),(6,7)]=>1 [(1,9),(2,4),(3,8),(5,10),(6,7)]=>1 [(1,10),(2,4),(3,8),(5,9),(6,7)]=>1 [(1,10),(2,3),(4,8),(5,9),(6,7)]=>1 [(1,9),(2,3),(4,8),(5,10),(6,7)]=>1 [(1,8),(2,3),(4,9),(5,10),(6,7)]=>1 [(1,7),(2,3),(4,9),(5,10),(6,8)]=>1 [(1,6),(2,3),(4,9),(5,10),(7,8)]=>2 [(1,5),(2,3),(4,9),(6,10),(7,8)]=>2 [(1,4),(2,3),(5,9),(6,10),(7,8)]=>2 [(1,3),(2,4),(5,9),(6,10),(7,8)]=>2 [(1,2),(3,4),(5,9),(6,10),(7,8)]=>2 [(1,2),(3,4),(5,10),(6,9),(7,8)]=>2 [(1,3),(2,4),(5,10),(6,9),(7,8)]=>2 [(1,4),(2,3),(5,10),(6,9),(7,8)]=>2 [(1,5),(2,3),(4,10),(6,9),(7,8)]=>2 [(1,6),(2,3),(4,10),(5,9),(7,8)]=>2 [(1,7),(2,3),(4,10),(5,9),(6,8)]=>1 [(1,8),(2,3),(4,10),(5,9),(6,7)]=>1 [(1,9),(2,3),(4,10),(5,8),(6,7)]=>1 [(1,10),(2,3),(4,9),(5,8),(6,7)]=>1 [(1,10),(2,4),(3,9),(5,8),(6,7)]=>1 [(1,9),(2,4),(3,10),(5,8),(6,7)]=>1 [(1,8),(2,4),(3,10),(5,9),(6,7)]=>1 [(1,7),(2,4),(3,10),(5,9),(6,8)]=>1 [(1,6),(2,4),(3,10),(5,9),(7,8)]=>2 [(1,5),(2,4),(3,10),(6,9),(7,8)]=>2 [(1,4),(2,5),(3,10),(6,9),(7,8)]=>2 [(1,3),(2,5),(4,10),(6,9),(7,8)]=>2 [(1,2),(3,5),(4,10),(6,9),(7,8)]=>2 [(1,2),(3,6),(4,10),(5,9),(7,8)]=>2 [(1,3),(2,6),(4,10),(5,9),(7,8)]=>2 [(1,4),(2,6),(3,10),(5,9),(7,8)]=>2 [(1,5),(2,6),(3,10),(4,9),(7,8)]=>2 [(1,6),(2,5),(3,10),(4,9),(7,8)]=>2 [(1,7),(2,5),(3,10),(4,9),(6,8)]=>1 [(1,8),(2,5),(3,10),(4,9),(6,7)]=>1 [(1,9),(2,5),(3,10),(4,8),(6,7)]=>1 [(1,10),(2,5),(3,9),(4,8),(6,7)]=>1 [(1,10),(2,6),(3,9),(4,8),(5,7)]=>1 [(1,9),(2,6),(3,10),(4,8),(5,7)]=>1 [(1,8),(2,6),(3,10),(4,9),(5,7)]=>1 [(1,7),(2,6),(3,10),(4,9),(5,8)]=>1 [(1,6),(2,7),(3,10),(4,9),(5,8)]=>1 [(1,5),(2,7),(3,10),(4,9),(6,8)]=>1 [(1,4),(2,7),(3,10),(5,9),(6,8)]=>1 [(1,3),(2,7),(4,10),(5,9),(6,8)]=>1 [(1,2),(3,7),(4,10),(5,9),(6,8)]=>1 [(1,2),(3,8),(4,10),(5,9),(6,7)]=>1 [(1,3),(2,8),(4,10),(5,9),(6,7)]=>1 [(1,4),(2,8),(3,10),(5,9),(6,7)]=>1 [(1,5),(2,8),(3,10),(4,9),(6,7)]=>1 [(1,6),(2,8),(3,10),(4,9),(5,7)]=>1 [(1,7),(2,8),(3,10),(4,9),(5,6)]=>1 [(1,8),(2,7),(3,10),(4,9),(5,6)]=>1 [(1,9),(2,7),(3,10),(4,8),(5,6)]=>1 [(1,10),(2,7),(3,9),(4,8),(5,6)]=>1 [(1,10),(2,8),(3,9),(4,7),(5,6)]=>1 [(1,9),(2,8),(3,10),(4,7),(5,6)]=>1 [(1,8),(2,9),(3,10),(4,7),(5,6)]=>1 [(1,7),(2,9),(3,10),(4,8),(5,6)]=>1 [(1,6),(2,9),(3,10),(4,8),(5,7)]=>1 [(1,5),(2,9),(3,10),(4,8),(6,7)]=>1 [(1,4),(2,9),(3,10),(5,8),(6,7)]=>1 [(1,3),(2,9),(4,10),(5,8),(6,7)]=>1 [(1,2),(3,9),(4,10),(5,8),(6,7)]=>1 [(1,2),(3,10),(4,9),(5,8),(6,7)]=>1 [(1,3),(2,10),(4,9),(5,8),(6,7)]=>1 [(1,4),(2,10),(3,9),(5,8),(6,7)]=>1 [(1,5),(2,10),(3,9),(4,8),(6,7)]=>1 [(1,6),(2,10),(3,9),(4,8),(5,7)]=>1 [(1,7),(2,10),(3,9),(4,8),(5,6)]=>1 [(1,8),(2,10),(3,9),(4,7),(5,6)]=>1 [(1,9),(2,10),(3,8),(4,7),(5,6)]=>1 [(1,10),(2,9),(3,8),(4,7),(5,6)]=>1 [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>3 [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>3 [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>3 [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>3 [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)]=>3 [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>3 [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>3 [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>2 [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>2 [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)]=>2 [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>3 [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>3 [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)]=>3 [(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)]=>2 [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]=>3 [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]=>3 [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]=>3 [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]=>3 [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]=>3 [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]=>3 [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]=>3 [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]=>3 [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]=>3 [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]=>2 [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]=>2 [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)]=>2 [(1,2),(3,4),(5,9),(6,10),(7,11),(8,12)]=>2 [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]=>3 [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]=>3 [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]=>3 [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]=>3 [(1,2),(3,5),(4,6),(7,10),(8,11),(9,12)]=>3 [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]=>3 [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]=>3 [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]=>3 [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]=>3 [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]=>3 [(1,2),(3,4),(5,6),(7,9),(8,12),(10,11)]=>3 [(1,2),(3,4),(5,6),(7,10),(8,12),(9,11)]=>3 [(1,2),(3,4),(5,6),(7,11),(8,9),(10,12)]=>3 [(1,2),(3,4),(5,6),(7,11),(8,10),(9,12)]=>3 [(1,2),(3,4),(5,6),(7,11),(8,12),(9,10)]=>3 [(1,2),(3,4),(5,6),(7,12),(8,10),(9,11)]=>3 [(1,2),(3,4),(5,7),(6,8),(9,12),(10,11)]=>3 [(1,2),(3,4),(5,7),(6,9),(8,12),(10,11)]=>3 [(1,2),(3,4),(5,7),(6,10),(8,9),(11,12)]=>3 [(1,2),(3,4),(5,7),(6,10),(8,12),(9,11)]=>3 [(1,2),(3,4),(5,7),(6,11),(8,9),(10,12)]=>3 [(1,2),(3,4),(5,7),(6,11),(8,10),(9,12)]=>3 [(1,2),(3,4),(5,7),(6,11),(8,12),(9,10)]=>3 [(1,2),(3,4),(5,7),(6,12),(8,9),(10,11)]=>3 [(1,2),(3,4),(5,7),(6,12),(8,10),(9,11)]=>3 [(1,2),(3,4),(5,7),(6,12),(8,11),(9,10)]=>3 [(1,2),(3,4),(5,8),(6,7),(9,11),(10,12)]=>3 [(1,2),(3,4),(5,8),(6,9),(7,12),(10,11)]=>2 [(1,2),(3,4),(5,8),(6,10),(7,12),(9,11)]=>2 [(1,2),(3,4),(5,8),(6,10),(7,9),(11,12)]=>2 [(1,2),(3,4),(5,8),(6,11),(7,12),(9,10)]=>2 [(1,2),(3,4),(5,8),(6,11),(7,10),(9,12)]=>2 [(1,2),(3,4),(5,8),(6,11),(7,9),(10,12)]=>2 [(1,2),(3,4),(5,8),(6,12),(7,11),(9,10)]=>2 [(1,2),(3,4),(5,8),(6,12),(7,10),(9,11)]=>2 [(1,2),(3,4),(5,8),(6,12),(7,9),(10,11)]=>2 [(1,2),(3,4),(5,9),(6,7),(8,10),(11,12)]=>3 [(1,2),(3,4),(5,9),(6,7),(8,11),(10,12)]=>3 [(1,2),(3,4),(5,9),(6,7),(8,12),(10,11)]=>3 [(1,2),(3,4),(5,9),(6,8),(7,12),(10,11)]=>2 [(1,2),(3,4),(5,9),(6,8),(7,11),(10,12)]=>2 [(1,2),(3,4),(5,9),(6,8),(7,10),(11,12)]=>2 [(1,2),(3,4),(5,9),(6,10),(7,12),(8,11)]=>2 [(1,2),(3,4),(5,9),(6,10),(7,8),(11,12)]=>2 [(1,2),(3,4),(5,9),(6,11),(7,12),(8,10)]=>2 [(1,2),(3,4),(5,9),(6,11),(7,10),(8,12)]=>2 [(1,2),(3,4),(5,9),(6,11),(7,8),(10,12)]=>2 [(1,2),(3,4),(5,9),(6,12),(7,11),(8,10)]=>2 [(1,2),(3,4),(5,9),(6,12),(7,10),(8,11)]=>2 [(1,2),(3,4),(5,9),(6,12),(7,8),(10,11)]=>2 [(1,2),(3,4),(5,10),(6,7),(8,11),(9,12)]=>3 [(1,2),(3,4),(5,10),(6,7),(8,12),(9,11)]=>3 [(1,2),(3,4),(5,10),(6,8),(7,12),(9,11)]=>2 [(1,2),(3,4),(5,10),(6,8),(7,11),(9,12)]=>2 [(1,2),(3,4),(5,10),(6,8),(7,9),(11,12)]=>2 [(1,2),(3,4),(5,10),(6,9),(7,12),(8,11)]=>2 [(1,2),(3,4),(5,10),(6,9),(7,11),(8,12)]=>2 [(1,2),(3,4),(5,10),(6,11),(7,12),(8,9)]=>2 [(1,2),(3,4),(5,10),(6,11),(7,9),(8,12)]=>2 [(1,2),(3,4),(5,10),(6,11),(7,8),(9,12)]=>2 [(1,2),(3,4),(5,10),(6,12),(7,11),(8,9)]=>2 [(1,2),(3,4),(5,10),(6,12),(7,9),(8,11)]=>2 [(1,2),(3,4),(5,10),(6,12),(7,8),(9,11)]=>2 [(1,2),(3,4),(5,11),(6,7),(8,9),(10,12)]=>3 [(1,2),(3,4),(5,11),(6,7),(8,10),(9,12)]=>3 [(1,2),(3,4),(5,11),(6,7),(8,12),(9,10)]=>3 [(1,2),(3,4),(5,11),(6,8),(7,12),(9,10)]=>2 [(1,2),(3,4),(5,11),(6,8),(7,10),(9,12)]=>2 [(1,2),(3,4),(5,11),(6,8),(7,9),(10,12)]=>2 [(1,2),(3,4),(5,11),(6,9),(7,12),(8,10)]=>2 [(1,2),(3,4),(5,11),(6,9),(7,10),(8,12)]=>2 [(1,2),(3,4),(5,11),(6,9),(7,8),(10,12)]=>2 [(1,2),(3,4),(5,11),(6,10),(7,12),(8,9)]=>2 [(1,2),(3,4),(5,11),(6,10),(7,9),(8,12)]=>2 [(1,2),(3,4),(5,11),(6,10),(7,8),(9,12)]=>2 [(1,2),(3,4),(5,11),(6,12),(7,10),(8,9)]=>2 [(1,2),(3,4),(5,11),(6,12),(7,9),(8,10)]=>2 [(1,2),(3,4),(5,11),(6,12),(7,8),(9,10)]=>2 [(1,2),(3,4),(5,12),(6,7),(8,10),(9,11)]=>3 [(1,2),(3,4),(5,12),(6,8),(7,11),(9,10)]=>2 [(1,2),(3,4),(5,12),(6,8),(7,10),(9,11)]=>2 [(1,2),(3,4),(5,12),(6,8),(7,9),(10,11)]=>2 [(1,2),(3,4),(5,12),(6,9),(7,11),(8,10)]=>2 [(1,2),(3,4),(5,12),(6,9),(7,10),(8,11)]=>2 [(1,2),(3,4),(5,12),(6,10),(7,11),(8,9)]=>2 [(1,2),(3,4),(5,12),(6,10),(7,9),(8,11)]=>2 [(1,2),(3,4),(5,12),(6,10),(7,8),(9,11)]=>2 [(1,2),(3,4),(5,12),(6,11),(7,9),(8,10)]=>2 [(1,2),(3,5),(4,6),(7,8),(9,12),(10,11)]=>3 [(1,2),(3,5),(4,6),(7,9),(8,12),(10,11)]=>3 [(1,2),(3,5),(4,6),(7,10),(8,9),(11,12)]=>3 [(1,2),(3,5),(4,6),(7,10),(8,12),(9,11)]=>3 [(1,2),(3,5),(4,6),(7,11),(8,9),(10,12)]=>3 [(1,2),(3,5),(4,6),(7,11),(8,10),(9,12)]=>3 [(1,2),(3,5),(4,6),(7,11),(8,12),(9,10)]=>3 [(1,2),(3,5),(4,6),(7,12),(8,9),(10,11)]=>3 [(1,2),(3,5),(4,6),(7,12),(8,10),(9,11)]=>3 [(1,2),(3,5),(4,6),(7,12),(8,11),(9,10)]=>3 [(1,2),(3,5),(4,7),(6,8),(9,12),(10,11)]=>3 [(1,2),(3,5),(4,7),(6,9),(8,12),(10,11)]=>3 [(1,2),(3,5),(4,7),(6,10),(8,9),(11,12)]=>3 [(1,2),(3,5),(4,7),(6,10),(8,12),(9,11)]=>3 [(1,2),(3,5),(4,7),(6,11),(8,9),(10,12)]=>3 [(1,2),(3,5),(4,7),(6,11),(8,10),(9,12)]=>3
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Description
The number of pairs whose larger element is at most one more than half the size of the perfect matching.
Under the bijection between perfect matchings of $\{1,\dots,2n\}$ and rooted unordered binary trees with $n+1$ labelled leaves described in Example 5.2.6 of [1], this is the number of nodes having two leaves as children.
The number of perfect matchings of $\{1,\dots,2n\}$ with $j$ such pairs, computed in [2], is
$$ \frac{(2j-3)!! (n+1)!}{2^j j!}\binom{n-1}{2j-2}. $$
References
[1] Stanley, R. P. Enumerative combinatorics. Vol. 2 MathSciNet:1676282
[2] Dale, M. R. T., Moon, J. W. The permuted analogues of three Catalan sets MathSciNet:1209991
Code
def statistic(m):
    return len([1 for a,b in m if max(a,b) <= m.size()//2 + 1])
Created
Nov 09, 2017 at 20:56 by Martin Rubey
Updated
Nov 09, 2017 at 20:56 by Martin Rubey